{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 9.3. Fitting a function to data with nonlinear least squares"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.optimize as opt\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x, a, b, c, d):\n",
    "    return a / (1. + np.exp(-c * (x - d))) + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "a, c = np.random.exponential(size=2)\n",
    "b, d = np.random.randn(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 100\n",
    "x = np.linspace(-10., 10., n)\n",
    "y_model = f(x, a, b, c, d)\n",
    "y = y_model + a * .2 * np.random.randn(n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x6bc90b8>"
    }
   },
   "outputs": [
    {
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RW1a3x7rtvReF0VPVmknFltXt3kxSBsaoAgAAAABls783X+kSxuke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\n8/JiMjaA5ETIFxPyer1jbvf5fFGP3dHRMeb2goK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5Nm3apK9+9asxG/9EF1xw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2Yf0hcscdd8QDDzyQEj/66KNjwoQJGakToLH53ve+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\nAAAkYtgIAAAAAAAAJPI/aSNA+e/UaCkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6bc90b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(6, 4))\n",
    "ax.plot(x, y_model, '--k')\n",
    "ax.plot(x, y, 'o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "(a_, b_, c_, d_), _ = opt.curve_fit(f, x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_fit = f(x, a_, b_, c_, d_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x6967e10>"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RW1a3x7rtvReF0VPVmknFltXt3kxSBsaoAgAAAABls783X+kSxuke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gv//BP0mphBR3Zg0tYDoMIzvzKW+y2gXC9iTzWz5g7/7H3HRnThYbPR6PI3HGOfSr7MdF86TX\nr5Iumy9d2jJ+5p3VF580L83+rK+8QZL0vCQlxr/GgwlTnb1xdfbGtWH/iBbV+/WxGbZrNAxDwWBQ\nJ06cmMHgLfBf3Y4WG9M9v9XAwI2qrZ1mQe3VYXlfOCjv8wfk/V23PD3PyUhOoTNCjjEDQSVv/kMl\n2jqk2VVuDyenca4FAAAAgNxHsRFATjEMyW8mpVcH3R4KgClwqhBmu4arThWfbDfvDdni2iSLZgVd\nbBxz9AXpsa+9drs0KJX4rb34JFiZbZM7jdmrXX0JdfUNqKOpTOsXVioUmN4s0PLycveLjb99TFp+\nt3PxnnlML764enLFxlRKnt6X5Xn5BXmfPyDP8wfk+f1hGQXwPmPOqlBiRbuSy98lzapwezgAAAAA\nAFiCYiMAAMgrts5svH6VffueyOtXjS+unUdRFBvPFI9aO8O94Wrp7m/PeD3OTT2jeupoXJuX16ol\nNPXpVjmxbmPv89KLTztTXH/hN9LRF/Tiiy9q4cKF4+4yhiLyHOmR5+UXsp9feVGe3/+XjLTLbWYt\nlpldreTbblXyLWuksqDbwwEAAAAAwFIUGwEAAMZcPt/ZeJdNPl5RFhut1HC1dM/3x7dmnYHeaEar\nt/dr28q6KRccg8EcKTY98T1nio1PfE9+j6HR5/ap5KkaeY68mC0sHnlRnhPH7Y/vokx1rZKr3qPk\nstVS6fTb707ENE0NJ00lM6Z8nmyrUdYyBAAAAAC4gWIjAADAmEuanY13acukH+pUsbEgixXByuyM\nRosKjWMGE6bad4a1a82cKbVUzYmZjVJ2ncy926bVUnYiHjOjS+MDmjfapytH+7Kfe/dp3kXH9Lp5\n18r38h5p4x5LYuW69FXXKLl0tVKL3ir5/Jbt92AkqS2Ho9rbn9S+gYQGT1tntMpv6Loav1rrfGpv\nCqq5mkUOAQAAAADOoNgIAADyim3FsNJZlhejLmhWZXZdwkm0Cs1kMg4MqEBnNr7r0zNunXouvdGM\n1u0Z0sZloUk/p7y83JaxTMsjX8jObpzk61OSSenyWFjzRvvUFOs7VVi8crRPTaPHVGpO0P50dpnF\ng85NmaoapZa0KXnj22Q2XGbpvncciemB7mF19SXO+ZjBhKnO3rg6e+Pa2cV51gAAIABJREFUsH9E\ni+r9+tj8Cq1otHZGJQAAAAAAZ6LYCAAAIEklLs0CKvFPqthIG9Vpal5q2cy9c9nUM6r2ppjaJlnU\nyZk2qpIUHZK++6fSPf8oT7BCcxJDuiR+XJfEI7r05Mcl8YguSUTUGBvQ5bGwSuRM4TsfmN4Spa9f\nrOSNK5We/wbJa+2/V5FYWvftGdLmntEpP7erL6GuvgF1NJVp/cLKKc2+BQAAAABgKig2AgCAGXOq\nEGarVNKluOeeqXQ6io3T9JYPOBLmwe7hSRcbnW6jakgK+b2aU1qiOn+J6kt9uqTMp0sD2c+XBExd\n8tSf6eLSEvkoJE5K+tImpZauVHLRcml2lS0xDkSS6tgZVm90Zj+TTT2jeupoXJuX1055fVEAAAAA\nACaDYiMAAMgrtrVRjb8qvTrkbCvVV4cmNavRSQVVbGy4Ktsi1AG7+xI6dDw5qXXyZlpsLDGkKp9X\nNf4SzSktUe3Jz3X+EtWVZj/m+EtUW5otLIb8Xnkn9XtDofF8zGC5kotuVurGlcpccbVk4/qmByJJ\n3bK9f9yajDPRG81o9fZ+bVtZR8ERAAAAAGA5io0AAOSb0lnZlp+pZLZABuv8/pB09SLn4r1ycNIP\nZWbjNFy/ytFwW3qiam69QLHaNFVZFlCt36uKEq8qSjyq9HlVdfKj2ldy6uvsba+q/dmvQ6U+VZZ4\nNctrX5EL45mGoXRzq1JLVyr1+jdJ/lLbY0ZiaXXsDFtWaBwzmDDVvjOsXWvm0FIVAAAAAGApio0A\nAOS6hquyRZPL50uXNI+feffqULZA9l/d0jPbpKMvuDfOfFc6S+p93tli48vdk34oxcZpuHz+9J5n\nmvKZaQXTcZVlEgpmEgqm4+M+l6UT2ftO297cl1TpAUmxURmxqBSLyoiNnro9tu1LmYy+tHKaY4Pt\nTH9ptsB4/WKlr/ufMqtrHY1/356hGbdOPZfeaEbr9gxp47KQLfsHAAAAABQnio0AAOSq5qXZ9ebO\n1wZyVmW2OHb1Imn53dKLT0u/+DvpuSedG6fDLGujer4irlOeeWzSD3Wq2Ghbm9rTeCSVeAz5DEMl\nhqESj0597fOc/lnyewz5PR75DOPk19n7xr72G2du88hvGCr1GipNH1Lp755TIJNUaSZ58nPq1O3S\nTFKl5vjtgUxCwXRCJdNtKfqcpS8VHJKprlV6wWKlFixSuvn1jsxgnMiOIzFt7hm1NcamnlG1N8Um\nvcYoAAAAAAAXQrERQM4pzaR1UWnhvz2dmc/3jQzKOB62PW7J8KAaAlN7fQ0527JvJtHO9dzKZEzG\nwLHzPHMGhZwzikANJdJIme/keM793ZyzphOokPG2e6RrbsreHh0/bmOCsRpjY2i4VHrf/5EO/puM\nn39LGh0+47lnBz1zHBMN6/Rtpz9+bH+NpR55Xul57Y6xIY57bcwJtp3xuAkff/p2U5dEj2thdXDc\nuAy9ViQbv+20r2Vkb19+rYzrV8q4+OrsfaZkxF+W4tnX1lD29Tz1tcyTt18bU3abJnyMR5nT7jPl\nOWNfY7e94ZdVVhWTp7pRHsOQx9DJz8ap24ZhyHvy68t/2ynf0f/Mvhanf2Qy2Z+/mTl1W+e5bWTS\nUubk7Qm+boyN6om3tcprZIuCHkPye0uytw3JK0NeQ/LKlFfZMXtlyiNlb49tP7ktezv7fXtkynvq\ntXRA3xNORUIeSjf9j2xxccEiZS6bZ+sajJP1QPfwhR9kgQe7hyk2AgAAAAAsYwwODjpzmTwAXEAq\nldLhw4dV/YtHdEXXdreHAwAACojpDyh9zQ3Z9qjXLpRZVeP2kMY5GElqydbzXRRjrd3vnKPmap9j\n8TB1Y38bn27u3LkqKSn8i/IAIJfwfgwAuYH349zGTwFAzvH7/W4PAQAA5DnT8Chz2Tylr56v9LVv\nVPoPFrjWHnUythyOOhuvJ6rmVhfaRwMAAAAACg7FRgAAAAB5zwyUKX1ls9JXzVfm6muUbmqWyoJu\nD2vS9vYnnY0XdjYeAAAAAKBwUWwEAAAAkHcyVbVKXz1fmauuyX5ubJK8+fnvjWma2jeQcDTms+GE\nTNM8td4tAAAAAADTlZ//jQMAAAAoKulL52YLi1fNV/rq+TJrL5IKpFA2nDQ1mDAdjTmYMDWSMlXh\nK4zXEAAAAADgHoqNAAAAAHJGKhCUcdmVSjdeqUzjlco0Nilz6VwpkD8tUacqmXG20DgmkTYlnyuh\nAQAAAAAFhGIjAAAAAMdlZOiFsnrtL79M3bMu076Tn4dm12nbqjlqCRVPFczncWd2od/LrEYAAAAA\nwMxRbAQAAABgm7QMvRyo1Ytl9frPsgbtL79M+8sv18FZlyjqDZz9hKTUvjOsXWvmKBTwOj9gF1T4\nDFX5DUdbqVb5DZWXUGwEAAAAAMwcxUYAAAAAM5I0vDocqNOLZfV6oaxeL5bV68Wyi/RCWb1eCtQp\n6Znavx290YzW7RnSxmUhm0acWwzD0HU1fnX2xh2LuaDWL6NA1rwEAAAAALiLYiMAAACAC8rMrpZZ\nXSszNEeHy+bowf7Kk8XFi/RyaY3SHmtnIW7qGVV7U0xtjRPMfixArXU+R4uNrbXF06YWAAAAAGAv\nio0AAABAETMNj8zqmmwhsbpOmVCdzOo6maE6ZU5+NqtqJJ//1HPufKxfXf6E7WN7sHu4aIqNa+cG\ntWH/iHPxmoKOxQIAAAAAFDaKjQAAAECBMb1emRVVJz8qZc6uzn49u+q17dU12aJiZbXknfy/BQcj\nSXX12V9olKTdfQkdOp5Uc3Xhz8JrCfm0qN7vyGu7uN5fFK8pAAAAAMAZFBsBAACAHGYGgjJnVcic\nVS4Fy2UGK2QGy09uq3itgHjqc7UULJdsWo9vy+GoLfs9Z7yeqJpbKx2N6ZZ751eoq2/AkTgAAAAA\nAFiFYiMAAABgA9MfkFlWJpWWyQwEpUBQZllQZuC0bWVBmaVlp4qHCpbLnHWyoDirXCqbNaVZh07Y\n2590Nl7Y2XhuamsMqL2pTJt7Rm2L0dFUphVF0poWAAAAAOCM3MpcAAAAADYyfT7J55dZ4pd8fiU8\nJTqeKdGQ6dPxjFdRlSjqLVXU41fKV6ryWQFVVZRpXl25aiuDkj8g018q+UtPfg7ILC19bXvgZDEx\nUCZ5vG5/u5YzTVP7BpxpoTrm2XBCpmnKsGmmZq65f2Gldh2NqzeasXzfDUGP1i8sjlmiAAAAAADn\nUGwEAADAKaZhSDJkejyS4ZFpGPKUeLOFM8OQ6T35tccreTynPme3e06774zt3pLsNq9XprdE8ma/\nzm4ryT5ubPvp20pKTm4vkVniy94u8ck8tT277dR93pLXbvv82cf6/Ke+nqi1aMXJj0tMUyMpU4m0\nKb/XUHmJMa7AVTzz685tOGlqMGE6GnMwkf25VPiKo9gYCni1eXmtVm/vt/S1rvIb2ry8VqFA4RXB\nAQAAAADuotgIIOdEL75Cx97wFklS5ezZMjweS/cfiWX0womkjo1mFI5lFE9nE3mmDJV6pbqAV3PK\nPJpXWaJQaYEl5FzJ07oQdLqzX+yaNXOe/YZjpn74wqsT3mee57Wb6D5zgoef+bjbrw6qtuw8p/8z\nxzru9pn3nWc8pz9vou9/wvuNs8Ocdt/R0Yz+4T9GFE1nt419v2OxTRkaS8ubxti2M+43zv3417aP\nPdZ47evTHjP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      "text/plain": [
       "<matplotlib.figure.Figure at 0x6967e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(6, 4))\n",
    "ax.plot(x, y_model, '--k')\n",
    "ax.plot(x, y, 'o')\n",
    "ax.plot(x, y_fit, '-')"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
